Email this article Two-Dimensional Approximations by the Method of Dividing Toric Tilings
- Authors: Zhuravlev V.G.1
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Affiliations:
- Vladimir State University
- Issue: Vol 217, No 1 (2016)
- Pages: 54-64
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237968
- DOI: https://doi.org/10.1007/s10958-016-2955-2
- ID: 237968
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Abstract
An infinite sequence of dividing two-dimensional toric tilings is constructed by the differentiation method. The karyons of the tilings have radii tending to zero and contain points having the best approximations on the torus in certain normalized metrics, which are defined by the initial karyon. The properties of the latter metrics can be essentially different from those of the standard metrics on a torus, used in approximation problems.
About the authors
V. G. Zhuravlev
Vladimir State University
Author for correspondence.
Email: vzhuravlev@mail.ru
Russian Federation, Vladimir
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